Buffer Solutions and Henderson-Hasselbalch Equation
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Questions and Answers

What is the equilibrium equation for NaHCO3 acting as an acid in water?

NaHCO3 dissociates into Na+ and HCO3- in solution.

Using the Henderson-Hasselbalch equation, how is the pH related to the pKa of NaHCO3?

pH = pKa + log10([HCO3-]/[H2CO3]).

At pH 9.50, how many moles of NaCO3- would be expected from 1.0 mole of NaHCO3 given that pKa is 10.25?

0.029 moles of NaCO3- would be present.

What is the acid dissociation equation for benzoic acid (PhCO2H) in water?

<p>PhCO2H ⇌ H+ + PhCO2-.</p> Signup and view all the answers

What is the form of the Henderson-Hasselbalch equation for a solution of benzoic acid at pH 3.5?

<p>pH = pKa + log10([PhCO2-]/[PhCO2H]).</p> Signup and view all the answers

Given a pKa of 4.19 for benzoic acid, what is the necessary ratio of [PhCO2H]/[PhCO2-] at pH 3.5?

<p>The ratio is approximately 7.8:1.</p> Signup and view all the answers

Explain how buffer effectiveness changes with concentration.

<p>Buffer effectiveness increases with higher concentrations of its components.</p> Signup and view all the answers

What is the observed pH when 0.004 M TRIS is adjusted with the addition of 0.005 M H+?

<p>The pH is approximately 7.48.</p> Signup and view all the answers

What happens to the concentrations of TRIS and TRIS-H+ after adding 0.005 M H+ to a 0.02 M TRIS solution?

<p>TRIS becomes 0.004 M and TRIS-H+ increases to 0.016 M.</p> Signup and view all the answers

What factors affect the behavior of ions in a solution?

<p>Degree of ionization, extent of solvation, and ion-ion vs. ion-solvent interactions.</p> Signup and view all the answers

What is the purpose of the Henderson-Hasselbalch equation in the context of buffer solutions?

<p>It relates the pH of a solution to the pKa of the acid and the ratio of the concentrations of the conjugate base to the acid.</p> Signup and view all the answers

Explain how acetic acid and sodium acetate function as a buffer system.

<p>Acetic acid is a weak acid while sodium acetate is its conjugate base; together they resist changes in pH when small amounts of acids or bases are added.</p> Signup and view all the answers

Calculate the pH of a buffer solution consisting of 0.045 mol L-1 acetic acid and sodium acetate at equilibrium.

<p>The pH is approximately 4.76, which is equal to the pKa of acetic acid.</p> Signup and view all the answers

What happens to the concentrations of AcO- and AcOH when adding 1.0 × 10−4 mol HNO3 to a buffer system initially containing 2.25 × 10−3 mol of each?

<p>The concentration of AcO- decreases to 2.15 × 10−3 mol, while the concentration of AcOH increases to 2.35 × 10−3 mol.</p> Signup and view all the answers

Why is the buffering effect of a solution not significantly impacted by the addition of 1.0 × 10−4 mol HNO3?

<p>Because the concentration of the added acid is much lower than that of the buffer components, the pH change is minimal.</p> Signup and view all the answers

Discuss the impact of adding equal or greater concentrations of a strong acid to a buffer solution.

<p>The buffering effect will break down, leading to a significant decrease in pH.</p> Signup and view all the answers

What is the pKa value of the conjugate acid of TRIS, and how does it relate to the stability of the buffer at pH 8.0?

<p>The pKa of TRIS-H+ is 8.08, making it stable around a pH of 8.0 due to the close relationship between pH and pKa.</p> Signup and view all the answers

Identify two common buffer systems and their respective pH ranges.

<p>NaH2PO4/Na2HPO4 and KH2PO4/K2HPO4, both have a pH range of 6-8.</p> Signup and view all the answers

Describe the role of HEPES in biological buffers and its suitable pH range.

<p>HEPES is a zwitterionic buffer that is effective in biological systems, with a pH range of 6.8 to 8.2.</p> Signup and view all the answers

What is the TRIS/TRIS-H+ ratio at pH 8.0, given the pKa of TRIS-H+ is 8.08?

<p>The ratio is approximately 1.0:1, as pH and pKa are nearly equal.</p> Signup and view all the answers

What is the expression for the activity of an ion in solution?

<p>The activity of an ion is given by the formula $a_i = \gamma_i [i]$.</p> Signup and view all the answers

How does the Debye-Hückel limiting law relate the activity coefficient to ionic strength?

<p>The Debye-Hückel limiting law shows that $\log_{10} \gamma^{\pm} = -A z^+ z^- \sqrt{I}$, where $A$ is a constant, $z^+$ and $z^-$ are the charges of the ions, and $I$ is the ionic strength.</p> Signup and view all the answers

Calculate the ionic strength of a solution containing 0.1 M Na3PO4.

<p>The ionic strength, $I$, is calculated as $I = \frac{1}{2}[(0.3M)(1^2) + (0.1M)(3^2)] = 0.60 M$.</p> Signup and view all the answers

What is the significance of the mean activity in equilibria for ions in solution?

<p>The mean activity determines the effective concentration of ions, influencing equilibrium positions in chemical reactions.</p> Signup and view all the answers

Explain the relationship between $pKa$, $pKb$, and $pKw$.

<p>The relationship is given by $pKa + pKb = pKw$, showing that the acidity and basicity constants are inversely related.</p> Signup and view all the answers

For a 0.05 M solution of MgCl2 fully dissociated, what is the formula to calculate its ionic strength?

<p>$I = \frac{1}{2}[(0.1M)(2^2) + (0.05M)(1^2)] = 0.075 M$.</p> Signup and view all the answers

What is the mean ionic concentration $[±]$ for Na3PO4 given its dissociation?

<p>The mean ionic concentration is $[±] = n\sqrt{([+]^n([-])^n)} = 0.228 M$ for Na3PO4.</p> Signup and view all the answers

Define the mean activity coefficient $γ^{±}$ for the solution mentioned.

<p>$\gamma^{±} = 0.066$ based on the calculated activity coefficient for Na3PO4.</p> Signup and view all the answers

What does the term 'activity' quantify in the context of ions in solution?

<p>Activity quantifies the effective concentration of an ion, accounting for non-ideal behavior in a solution.</p> Signup and view all the answers

Study Notes

Henderson-Hasselbalch Equation

  • Relates pH, pKa and the concentrations of an acid and its conjugate base or a base and its conjugate acid.
  • Used to calculate the pH of a buffer solution.
  • Can be used to determine the ratio of acid to conjugate base required to achieve a desired pH.

Buffer Solutions

  • Solutions containing a weak acid and its salt (conjugate base) or a weak base and its salt (conjugate acid).
  • Resist changes in pH upon addition of acid or base.
  • Example: acetic acid (AcOH) and sodium acetate (AcONa).
  • AcOH is weakly dissociated while AcONa is fully dissociated.

Buffering Effect

  • Addition of hydroxide ions (OH-) is neutralized by the weak acid, and the addition of hydronium ions (H3O+) is neutralized by the conjugate base.
  • Buffers work best when the concentrations of the weak acid and its conjugate base are similar.
  • Adding too much acid or base can cause the buffering effect to break down.

Common Buffers

  • Sodium dihydrogen phosphate (NaH2PO4) and disodium hydrogen phosphate (Na2HPO4) are common buffers with a pH range of 6-8.
  • Potassium dihydrogen phosphate (KH2PO4) and dipotassium hydrogen phosphate (K2HPO4) are also common buffers with a pH range of 6-8.
  • Tris(hydroxymethyl)aminomethane (TRIS) and its conjugate acid (TRIS-H+) are common buffers with a pH range of 7-9.
  • HEPES is a common buffer with a pH range of 6.8-8.2.

Activity of Ions in Solution

  • The behaviour of ions in solution is affected by factors including ionisation, solvation, ion-ion and ion-solvent interactions, external fields, and other phenomena.
  • Activity is a measure of the effective concentration of an ion in solution.
  • The activity coefficient (γi) quantifies deviations from ideal behaviour.

Debye-Hückel Limiting Law

  • Relates the activity coefficient to the ionic strength of the solution (I).
  • Can be used to calculate the activity coefficient for dilute solutions.
  • A is a constant, z+ and z- are the charges of the positive and negative ions, and I is the ionic strength.

Ionic Strength (I)

  • A measure of the ionic field generated by a system of ions in solution.
  • Depends on the number and charge of the ions present.
  • Calculated using the formula: I = 1/2 * Σi zi^2 * ci, where ci is the concentration of the ith ion and zi is its charge.

Mean Activity Coefficient (γ±)

  • The activity coefficient of a salt in solution, taking into account the contributions of all ions.
  • Calculated using the Debye-Hückel Limiting Law or other activity coefficient models.

Tutorial Example

  • The ionic strength (I), mean activity coefficient (γ±), mean ionic concentration ([±]), and mean activity (a±) can be calculated for a 0.05 M solution of MgCl2 in water at 25°C, assuming MgCl2 is fully dissociated.
  • The pKa of NaHCO3 is 10.25. The number of moles of NaCO3- present in a solution of 1.0 moles of NaHCO3 at pH 9.50 can be calculated using the Henderson-Hasselbalch equation.

Acid Dissociation Constant (Ka), Base Dissociation Constant (Kb), and Ion Product Constant (Kw)

  • Ka refers to the acid dissociation constant, Kb refers to the base dissociation constant, and Kw is the ion product constant for water.
  • They can be used to determine the relative strengths of acids and bases.
  • The relationship between them is pKa + pKb = pKw.

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Description

This quiz explores the principles of buffer solutions, including the Henderson-Hasselbalch equation and the buffering effect. You will learn about the relationship between pH, pKa, and the concentrations of acids and their conjugate bases. Get ready to test your knowledge on how buffers maintain pH stability in various solutions.

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